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Finding the Fourth Proportional to 14,855, 20,499.90 and 8,231

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Solution

The fourth proportional to 14,855, 20,499.90 and 8,231 is: 11,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855 : 20,499.90 = 8,231 : x
  2. Step 2: Convert to fraction form
    14,855/20,499.90 = 8,231/x
  3. Step 3: Cross multiply
    14,855x = 20,499.90 × 8,231
  4. Step 4: Simplify right side
    14,855x = 168,734,676.90
  5. Step 5: Solve for x
    x = 168,734,676.90/14,855
  6. Step 6: Final answer
    x = 11,358.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.